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Finding the Fourth Proportional to 36,524, 50,403.17 and 19,757

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Solution

The fourth proportional to 36,524, 50,403.17 and 19,757 is: 27,264.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,524 : 50,403.17 = 19,757 : x
  2. Step 2: Convert to fraction form
    36,524/50,403.17 = 19,757/x
  3. Step 3: Cross multiply
    36,524x = 50,403.17 × 19,757
  4. Step 4: Simplify right side
    36,524x = 995,815,330.91
  5. Step 5: Solve for x
    x = 995,815,330.91/36,524
  6. Step 6: Final answer
    x = 27,264.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.